Vocab and Practice: Operations with Complex Numbers

Front

What is the simplified form of (-9 + 5i) + (3 - 2i)?

Back

-6 + 3i

Front

How do you write a complex number?

Back

a + bi

Front

What is the simplified form of (11 - 7i) - (-3 + 12i)?

Back

14 - 19i

Front

What is the result of multiplying (4 – 3i)(-7 – 2i)?

Back

-34 + 13i

Front

What does i^2 equal?

Back

-1

Front

What is the real part of a complex number a + bi?

Back

a

Front

What is the imaginary part of a complex number a + bi?

Back

b

Front

How do you add two complex numbers?

Back

Add the real parts and the imaginary parts separately.

Front

How do you subtract two complex numbers?

Back

Subtract the real parts and the imaginary parts separately.

Front

What is the product of two complex numbers in the form (a + bi)(c + di)?

Back

ac + adi + bci + bdi^2, which simplifies to (ac - bd) + (ad + bc)i.